Least Common Multiple of 544/300, 210/875, 662/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/300, 210/875, 662/309 quickly i.e. 18906720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/300, 210/875, 662/309 is 18906720.

LCM(544/300, 210/875, 662/309) = 18906720

LCM of 544/300, 210/875, 662/309

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 544/300,210/875,662/309

Given numbers are 544/300,210/875,662/309

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 544,210,662

Least Common Multiple of Numerators i.e. LCM of 544,210,662 is 18906720.

GCF of Denominators means GCF of 300,875,309 as per the given fractions.

GCF of 300,875,309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,210,662

LCM of Fractions 544/300,210/875,662/309 is 18906720

2 544, 210, 662
272, 105, 331

∴ So the LCM of the given numbers is 2 x 272 x 105 x 331 = 18906720

Least Common Multiple of 544,210,662 with GCF Formula

Least Common Multiple of 544,210,662 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 544,210,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,210,662) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(544,210,662) x common factors =2 x 2 = 4

LCM(544,210,662) = ( 544 × 210 × 662 ) / 4

LCM(544,210,662) = 75626880 / 4

LCM(544,210,662) = 18906720


Lets's calculate GCF of 300,875,309

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18906720/1

Therefore the LCM of Fractions 544/300,210/875,662/309 is 18906720

Greatest Common Factor of 300,875,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,875,309 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 300,875,309 . The biggest common factor number is the GCF number.
So the greatest common factor 300,875,309 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 544/300, 210/875, 662/309

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 544/300, 210/875, 662/309?

Answer: LCM of Numerators as per given numbers 544/300, 210/875, 662/309 is

LCM of Numerators i.e. for 544,210,662 is 18906720

GCF of denominators i.e. for 300,875,309 is 1.

Thus, LCM of Fractions is 18906720.Finally, LCM of Fractions for 544/300, 210/875, 662/309 is 18906720.